Question related to latent heat of fusion of ice

In summary, the conversation is about calculating the specific heat of a metal using an ice calorimeter. It is mentioned that one gram of ice at 0 degrees Celsius contracts in volume by 0.091cc on melting. When 80cal/gm is supplied to ice, its volume decreases by 0.091cc. The decrease in volume of 0.0182cc in the experiment suggests that the heat supplied will be doubled, resulting in a specific heat of 0.08cal/gmC for the metal.
  • #1
pcsx22
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Homework Statement



one gram of ice at 0 degree C contracts in volume by 0.091cc on melting. 9gm of a metalis heated to 200 degree C and dropped into and ice calorimeter. The decrease in volume was found to be 0.0182 cc. Calculate the Sp. heat of the metal (ANS:0.09cal/gmC)

Homework Equations





The Attempt at a Solution


In my opinion when 80cal/gm is supplied to ice it's volume will decrease by 0.091cc as it will turn into water. So when the Volume decreases by 0.0182 it means that heat supplied will be doubled. so 160 cal/gm = 9gm * S * 200 which which will give s = 0.08cal/gmC.
 
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  • #2
Check your arithmetic.
 

Related to Question related to latent heat of fusion of ice

1. What is the latent heat of fusion of ice?

The latent heat of fusion of ice is the amount of heat required to change a unit mass of ice from a solid to a liquid state at its melting point. It is also known as the heat of fusion or enthalpy of fusion.

2. What is the value of the latent heat of fusion of ice?

The value of the latent heat of fusion of ice is 334 kJ/kg at a pressure of one atmosphere. This value may vary slightly depending on the temperature and pressure at which the ice is melting.

3. How does the latent heat of fusion of ice affect the melting process?

The latent heat of fusion of ice plays a crucial role in the melting process. As heat is applied to ice, it first causes the temperature to increase until it reaches the melting point. Once the ice reaches its melting point, the applied heat is used to break the bonds between the water molecules, resulting in a phase change from solid to liquid. This process continues until all the ice has melted.

4. How does the latent heat of fusion of ice impact the Earth's climate?

The latent heat of fusion of ice has a significant impact on the Earth's climate. When ice in polar regions melts, it absorbs a large amount of heat from the surrounding environment, preventing the temperature from rising. This process is known as the ice-albedo feedback and helps regulate the Earth's temperature. However, with the current climate change, the melting of ice is occurring at a faster rate, leading to an increase in global temperatures.

5. How is the latent heat of fusion of ice used in everyday life?

The latent heat of fusion of ice has various applications in our daily lives. It is used in refrigeration and air conditioning systems, where it is necessary to convert a liquid into a solid and vice versa. It is also used in the food industry to freeze and preserve food products. Additionally, the latent heat of fusion of ice is utilized in processes such as freeze-drying and cryopreservation.

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